operate, and it can produce 400 barrels of high-grade oil, 300 barrels of medium-grade oil, and 200 barrels of low-grade oil each day. Refinery 2 is newer and more modern. It costs $25,000 per day to operate, and it can produce 300 barrels of high-grade oil, 400 barrels of medium- grade oil, and 500 barrels of low-grade oil each day. The company has orders totaling 25,000 barrels of high-grade oil, 27,000 barrels of medium-grade oil, and 30,000 barrels of low-grade oil. Set up linear minimization problem using Simplex method. Determine the days to run each refinery to minimize the cost in order to meet its order.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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A small petroleum company owns two refineries plant. Refinery 1 costs $20,000 per day to
operate, and it can produce 400 barrels of high-grade oil, 300 barrels of medium-grade oil, and
200 barrels of low-grade oil each day. Refinery 2 is newer and more modern. It costs $25,000
per day to operate, and it can produce 300 barrels of high-grade oil, 400 barrels of medium-
grade oil, and 500 barrels of low-grade oil each day. The company has orders totaling 25,000
barrels of high-grade oil, 27,000 barrels of medium-grade oil, and 30,000 barrels of low-grade
oil. Set up linear minimization problem using Simplex method. Determine the days to run each
refinery to minimize the cost in order to meet its order.
Transcribed Image Text:A small petroleum company owns two refineries plant. Refinery 1 costs $20,000 per day to operate, and it can produce 400 barrels of high-grade oil, 300 barrels of medium-grade oil, and 200 barrels of low-grade oil each day. Refinery 2 is newer and more modern. It costs $25,000 per day to operate, and it can produce 300 barrels of high-grade oil, 400 barrels of medium- grade oil, and 500 barrels of low-grade oil each day. The company has orders totaling 25,000 barrels of high-grade oil, 27,000 barrels of medium-grade oil, and 30,000 barrels of low-grade oil. Set up linear minimization problem using Simplex method. Determine the days to run each refinery to minimize the cost in order to meet its order.
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